"A Clockwork Totoro" is very popular in that age group.
Grave of the Fireflies might fit the bill.
Kubrick= emotional twist you hate yourself for.Miyazaki= whimsical fantasy with a dark edge...Hmm A.I. though not animation is probably the closest.PS I HATE name droppers who don;t know what they are talking about.
Kubrick? For a 3 year old? Girl is gonna end up like Emily Bronte.
Kubrick's main 'thing' seemed to be emotionally screwed-up characters.Miyazaki has positive messages and beautiful artwork.As WRONG as it may sound, I think "End of Evangelion" is the closest thing to what that woman is looking for. I mean, the ultraviolence, and infamous scene in Asuka's hospital room at the beginning are clearly inappropriate for kids, but the movie has fantastic animation, emotionally complex characters, and as Shinji's cancelling Instrumentality the spirit-Rei (or was it spirit-Kaworou? I forget...) tells him that humanity just wants to be loved and to find happiness and that as long as you're alive, you can get both.Still, were I in that situation, I'd recommend something like "Avatar: The Last Airbender" that would still be excellent without scarring a young child for life.
Paprika. Anything by Satoshi Kon. Grave of the Fireflies and End of Evangelion are awful suggestions and you should feel ashamed.
^ Did you all seriously try to come up with something for this or are these comments part of the punchline?
Backyardigans? Blues Clues?
Maybe she doesn't actually have a kid and is just really embarrassed about asking for animated movie recommendations.